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Sandwich Theorems for Orthogonally Additive Functions

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Inequalities and Applications

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 157))

Abstract

Let p be an orthogonally subadditive mapping, q an orthogonally superadditive mapping such that p ≤ q or q ≤ p. We prove that under some additional assumptions there exists a unique orthogonally additive mapping f such that p ≤ f ≤ q or q ≤ f ≤ p, respectively.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Silesian University, Bankowa 14, PL-40-007, Katowice, Poland

    Włodzimierz Fechner & Justyna Sikorska

Authors
  1. Włodzimierz Fechner
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  2. Justyna Sikorska
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Editor information

Editors and Affiliations

  1. Institut Mathematik, Universität Basel, Rheinsprung 21, 4051, Basel, Switzerland

    Catherine Bandle

  2. Department Economic Analysis & Information Technology for Business, University of Debrecen, Kassai út.26, 4028, Debrecen, Hungary

    László Losonczi

  3. Department of Analysis Institute Mathematics & Informatics, University of Debrecen, Pf. 12, 4010, Debrecen, Hungary

    Attila Gilányi  & Zsolt Páles  & 

  4. Institut für Analysis, Universität Karlsruhe, Kaiserstrasse 12, 76128, Karlsruhe, Germany

    Michael Plum

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© 2008 Birkhäuser Verlag Basel/Switzerland

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Fechner, W., Sikorska, J. (2008). Sandwich Theorems for Orthogonally Additive Functions. In: Bandle, C., Losonczi, L., Gilányi, A., Páles, Z., Plum, M. (eds) Inequalities and Applications. International Series of Numerical Mathematics, vol 157. Birkhäuser, Basel. https://doi.org/10.1007/978-3-7643-8773-0_26

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